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Finding the Third Proportional to 35,278 and 54,738

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Solution

The third proportional to 35,278 and 54,738 is: 84,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,278 : 54,738 = 54,738 : x
  2. Step 2: Convert to fraction form
    35,278/54,738 = 54,738/x
  3. Step 3: Cross multiply
    35,278x = 54,738 × 54,738
  4. Step 4: Simplify right side
    35,278x = 2,996,248,644
  5. Step 5: Solve for x
    x = 2,996,248,644/35,278
  6. Step 6: Final answer
    x = 84,932.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.